UNIONBANK
Union Bank Of India
Historical option data for UNIONBANK
24 Dec 2025 04:13 PM IST
| UNIONBANK 27-JAN-2026 155 CE | ||||||||||||||||
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Delta: 0.42
Vega: 0.18
Theta: -0.09
Gamma: 0.03
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| Date | Close | Ltp | Change | IV | Volume | OI Chg | OI | |||||||||
| 24 Dec | 150.76 | 3.53 | -0.7 | 25.85 | 352 | 149 | 387 | |||||||||
| 23 Dec | 152.36 | 4.2 | -0.52 | 25.60 | 161 | 50 | 238 | |||||||||
| 22 Dec | 152.80 | 4.71 | -0.6 | 26.42 | 213 | 67 | 188 | |||||||||
| 19 Dec | 154.03 | 5.21 | -0.29 | 24.76 | 145 | 72 | 122 | |||||||||
| 18 Dec | 154.15 | 5.5 | 0.03 | 25.88 | 41 | 3 | 49 | |||||||||
| 17 Dec | 153.04 | 5.5 | 0.5 | 28.14 | 10 | -1 | 45 | |||||||||
| 16 Dec | 153.20 | 5 | -0.79 | 25.63 | 8 | 2 | 45 | |||||||||
| 15 Dec | 153.65 | 5.81 | 0.61 | 26.92 | 15 | 7 | 44 | |||||||||
| 12 Dec | 152.74 | 5.2 | 1.7 | 24.77 | 11 | 5 | 38 | |||||||||
| 11 Dec | 150.53 | 3.5 | -1 | - | 0 | 0 | 33 | |||||||||
| 10 Dec | 148.06 | 3.5 | -1 | 27.40 | 1 | 0 | 34 | |||||||||
| 9 Dec | 150.43 | 4.5 | 1 | 25.53 | 13 | 3 | 33 | |||||||||
| 8 Dec | 148.36 | 3.5 | -2.4 | 25.25 | 8 | 1 | 31 | |||||||||
| 5 Dec | 153.30 | 5.9 | 0.1 | 24.73 | 2 | -1 | 29 | |||||||||
| 4 Dec | 152.43 | 5.8 | 0.2 | 25.47 | 7 | 1 | 30 | |||||||||
| 3 Dec | 151.38 | 5.5 | -4 | 26.31 | 66 | 9 | 28 | |||||||||
| 2 Dec | 155.77 | 9.5 | 2.3 | 32.99 | 9 | -4 | 19 | |||||||||
| 1 Dec | 154.19 | 7.2 | 0.5 | 26.34 | 14 | 5 | 22 | |||||||||
| 28 Nov | 153.27 | 6.7 | -0.5 | 25.40 | 16 | 2 | 8 | |||||||||
| 27 Nov | 154.28 | 7.2 | -0.73 | 25.41 | 5 | 3 | 6 | |||||||||
| 26 Nov | 155.40 | 7.93 | 0.43 | 25.02 | 2 | 0 | 3 | |||||||||
| 25 Nov | 152.85 | 7.5 | -0.03 | 28.98 | 1 | 0 | 2 | |||||||||
| 24 Nov | 150.99 | 7.53 | 0 | 32.60 | 1 | 0 | 2 | |||||||||
| 21 Nov | 150.89 | 7.53 | 0.21 | - | 0 | 0 | 0 | |||||||||
| 20 Nov | 153.19 | 7.53 | 0.21 | - | 0 | 0 | 0 | |||||||||
| 19 Nov | 154.48 | 7.53 | 0.21 | - | 0 | 0 | 0 | |||||||||
| 18 Nov | 153.11 | 7.53 | 0.21 | - | 0 | 0 | 0 | |||||||||
| 17 Nov | 154.08 | 7.53 | 0.21 | - | 0 | 0 | 0 | |||||||||
| 14 Nov | 152.76 | 7.53 | 0.21 | - | 0 | 1 | 0 | |||||||||
| 13 Nov | 151.90 | 7.53 | 0.21 | 27.24 | 1 | 0 | 1 | |||||||||
| 12 Nov | 156.29 | 7.32 | -2.63 | - | 0 | 1 | 0 | |||||||||
| 11 Nov | 152.62 | 7.32 | -2.63 | 24.58 | 1 | 0 | 0 | |||||||||
| 10 Nov | 154.24 | 9.95 | 0 | - | 0 | 0 | 0 | |||||||||
| 7 Nov | 153.30 | 9.95 | 0 | - | 0 | 0 | 0 | |||||||||
| 6 Nov | 150.15 | 9.95 | 0 | 0.89 | 0 | 0 | 0 | |||||||||
| 4 Nov | 151.54 | 9.95 | 0 | - | 0 | 0 | 0 | |||||||||
| 3 Nov | 150.88 | 9.95 | 0 | - | 0 | 0 | 0 | |||||||||
| 31 Oct | 148.67 | 9.95 | 0 | - | 0 | 0 | 0 | |||||||||
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| 30 Oct | 142.32 | 9.95 | 0 | 3.76 | 0 | 0 | 0 | |||||||||
For Union Bank Of India - strike price 155 expiring on 27JAN2026
Delta for 155 CE is 0.42
Historical price for 155 CE is as follows
On 24 Dec UNIONBANK was trading at 150.76. The strike last trading price was 3.53, which was -0.7 lower than the previous day. The implied volatity was 25.85, the open interest changed by 149 which increased total open position to 387
On 23 Dec UNIONBANK was trading at 152.36. The strike last trading price was 4.2, which was -0.52 lower than the previous day. The implied volatity was 25.60, the open interest changed by 50 which increased total open position to 238
On 22 Dec UNIONBANK was trading at 152.80. The strike last trading price was 4.71, which was -0.6 lower than the previous day. The implied volatity was 26.42, the open interest changed by 67 which increased total open position to 188
On 19 Dec UNIONBANK was trading at 154.03. The strike last trading price was 5.21, which was -0.29 lower than the previous day. The implied volatity was 24.76, the open interest changed by 72 which increased total open position to 122
On 18 Dec UNIONBANK was trading at 154.15. The strike last trading price was 5.5, which was 0.03 higher than the previous day. The implied volatity was 25.88, the open interest changed by 3 which increased total open position to 49
On 17 Dec UNIONBANK was trading at 153.04. The strike last trading price was 5.5, which was 0.5 higher than the previous day. The implied volatity was 28.14, the open interest changed by -1 which decreased total open position to 45
On 16 Dec UNIONBANK was trading at 153.20. The strike last trading price was 5, which was -0.79 lower than the previous day. The implied volatity was 25.63, the open interest changed by 2 which increased total open position to 45
On 15 Dec UNIONBANK was trading at 153.65. The strike last trading price was 5.81, which was 0.61 higher than the previous day. The implied volatity was 26.92, the open interest changed by 7 which increased total open position to 44
On 12 Dec UNIONBANK was trading at 152.74. The strike last trading price was 5.2, which was 1.7 higher than the previous day. The implied volatity was 24.77, the open interest changed by 5 which increased total open position to 38
On 11 Dec UNIONBANK was trading at 150.53. The strike last trading price was 3.5, which was -1 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 33
On 10 Dec UNIONBANK was trading at 148.06. The strike last trading price was 3.5, which was -1 lower than the previous day. The implied volatity was 27.40, the open interest changed by 0 which decreased total open position to 34
On 9 Dec UNIONBANK was trading at 150.43. The strike last trading price was 4.5, which was 1 higher than the previous day. The implied volatity was 25.53, the open interest changed by 3 which increased total open position to 33
On 8 Dec UNIONBANK was trading at 148.36. The strike last trading price was 3.5, which was -2.4 lower than the previous day. The implied volatity was 25.25, the open interest changed by 1 which increased total open position to 31
On 5 Dec UNIONBANK was trading at 153.30. The strike last trading price was 5.9, which was 0.1 higher than the previous day. The implied volatity was 24.73, the open interest changed by -1 which decreased total open position to 29
On 4 Dec UNIONBANK was trading at 152.43. The strike last trading price was 5.8, which was 0.2 higher than the previous day. The implied volatity was 25.47, the open interest changed by 1 which increased total open position to 30
On 3 Dec UNIONBANK was trading at 151.38. The strike last trading price was 5.5, which was -4 lower than the previous day. The implied volatity was 26.31, the open interest changed by 9 which increased total open position to 28
On 2 Dec UNIONBANK was trading at 155.77. The strike last trading price was 9.5, which was 2.3 higher than the previous day. The implied volatity was 32.99, the open interest changed by -4 which decreased total open position to 19
On 1 Dec UNIONBANK was trading at 154.19. The strike last trading price was 7.2, which was 0.5 higher than the previous day. The implied volatity was 26.34, the open interest changed by 5 which increased total open position to 22
On 28 Nov UNIONBANK was trading at 153.27. The strike last trading price was 6.7, which was -0.5 lower than the previous day. The implied volatity was 25.40, the open interest changed by 2 which increased total open position to 8
On 27 Nov UNIONBANK was trading at 154.28. The strike last trading price was 7.2, which was -0.73 lower than the previous day. The implied volatity was 25.41, the open interest changed by 3 which increased total open position to 6
On 26 Nov UNIONBANK was trading at 155.40. The strike last trading price was 7.93, which was 0.43 higher than the previous day. The implied volatity was 25.02, the open interest changed by 0 which decreased total open position to 3
On 25 Nov UNIONBANK was trading at 152.85. The strike last trading price was 7.5, which was -0.03 lower than the previous day. The implied volatity was 28.98, the open interest changed by 0 which decreased total open position to 2
On 24 Nov UNIONBANK was trading at 150.99. The strike last trading price was 7.53, which was 0 lower than the previous day. The implied volatity was 32.60, the open interest changed by 0 which decreased total open position to 2
On 21 Nov UNIONBANK was trading at 150.89. The strike last trading price was 7.53, which was 0.21 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 20 Nov UNIONBANK was trading at 153.19. The strike last trading price was 7.53, which was 0.21 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 19 Nov UNIONBANK was trading at 154.48. The strike last trading price was 7.53, which was 0.21 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 18 Nov UNIONBANK was trading at 153.11. The strike last trading price was 7.53, which was 0.21 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 17 Nov UNIONBANK was trading at 154.08. The strike last trading price was 7.53, which was 0.21 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 14 Nov UNIONBANK was trading at 152.76. The strike last trading price was 7.53, which was 0.21 higher than the previous day. The implied volatity was -, the open interest changed by 1 which increased total open position to 0
On 13 Nov UNIONBANK was trading at 151.90. The strike last trading price was 7.53, which was 0.21 higher than the previous day. The implied volatity was 27.24, the open interest changed by 0 which decreased total open position to 1
On 12 Nov UNIONBANK was trading at 156.29. The strike last trading price was 7.32, which was -2.63 lower than the previous day. The implied volatity was -, the open interest changed by 1 which increased total open position to 0
On 11 Nov UNIONBANK was trading at 152.62. The strike last trading price was 7.32, which was -2.63 lower than the previous day. The implied volatity was 24.58, the open interest changed by 0 which decreased total open position to 0
On 10 Nov UNIONBANK was trading at 154.24. The strike last trading price was 9.95, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 7 Nov UNIONBANK was trading at 153.30. The strike last trading price was 9.95, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 6 Nov UNIONBANK was trading at 150.15. The strike last trading price was 9.95, which was 0 lower than the previous day. The implied volatity was 0.89, the open interest changed by 0 which decreased total open position to 0
On 4 Nov UNIONBANK was trading at 151.54. The strike last trading price was 9.95, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 3 Nov UNIONBANK was trading at 150.88. The strike last trading price was 9.95, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 31 Oct UNIONBANK was trading at 148.67. The strike last trading price was 9.95, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 30 Oct UNIONBANK was trading at 142.32. The strike last trading price was 9.95, which was 0 lower than the previous day. The implied volatity was 3.76, the open interest changed by 0 which decreased total open position to 0
| UNIONBANK 27JAN2026 155 PE | |||||||
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Delta: -0.57
Vega: 0.18
Theta: -0.05
Gamma: 0.03
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| Date | Close | Ltp | Change | IV | Volume | OI Chg | OI |
| 24 Dec | 150.76 | 6.44 | 0.59 | 26.62 | 231 | 114 | 318 |
| 23 Dec | 152.36 | 5.9 | 0.13 | 27.61 | 119 | 58 | 204 |
| 22 Dec | 152.80 | 5.75 | 0.5 | 28.04 | 176 | 118 | 146 |
| 19 Dec | 154.03 | 5.15 | -0.65 | 26.94 | 19 | 12 | 27 |
| 18 Dec | 154.15 | 5.8 | -3.7 | 30.08 | 6 | 1 | 15 |
| 17 Dec | 153.04 | 9.5 | 2.7 | - | 0 | 0 | 14 |
| 16 Dec | 153.20 | 9.5 | 2.7 | - | 0 | 0 | 14 |
| 15 Dec | 153.65 | 9.5 | 2.7 | - | 0 | 0 | 0 |
| 12 Dec | 152.74 | 9.5 | 2.7 | - | 0 | 0 | 14 |
| 11 Dec | 150.53 | 9.5 | 2.7 | - | 0 | 0 | 14 |
| 10 Dec | 148.06 | 9.5 | 2.7 | 28.52 | 1 | 0 | 13 |
| 9 Dec | 150.43 | 6.8 | 1.7 | - | 0 | 0 | 0 |
| 8 Dec | 148.36 | 6.8 | 1.7 | - | 0 | 0 | 13 |
| 5 Dec | 153.30 | 6.8 | 1.7 | - | 0 | 0 | 0 |
| 4 Dec | 152.43 | 6.8 | 1.7 | - | 0 | 0 | 0 |
| 3 Dec | 151.38 | 6.8 | 1.7 | 25.75 | 1 | 0 | 13 |
| 2 Dec | 155.77 | 5.1 | -2.4 | 26.87 | 22 | 8 | 13 |
| 1 Dec | 154.19 | 7.5 | -0.15 | - | 0 | 1 | 0 |
| 28 Nov | 153.27 | 7.5 | -0.15 | 31.94 | 1 | 0 | 4 |
| 27 Nov | 154.28 | 7.65 | 0.65 | - | 0 | 0 | 0 |
| 26 Nov | 155.40 | 7.65 | 0.65 | - | 0 | 0 | 0 |
| 25 Nov | 152.85 | 7.65 | 0.65 | - | 0 | 0 | 0 |
| 24 Nov | 150.99 | 7.65 | 0.65 | - | 0 | 0 | 0 |
| 21 Nov | 150.89 | 7.65 | 0.65 | - | 0 | 1 | 0 |
| 20 Nov | 153.19 | 7.65 | 0.65 | 31.19 | 1 | 0 | 3 |
| 19 Nov | 154.48 | 7 | -8.55 | - | 0 | 0 | 0 |
| 18 Nov | 153.11 | 7 | -8.55 | - | 0 | 3 | 0 |
| 17 Nov | 154.08 | 7 | -8.55 | 30.23 | 3 | 1 | 1 |
| 14 Nov | 152.76 | 15.55 | 0 | - | 0 | 0 | 0 |
| 13 Nov | 151.90 | 15.55 | 0 | 0.05 | 0 | 0 | 0 |
| 12 Nov | 156.29 | 15.55 | 0 | 1.97 | 0 | 0 | 0 |
| 11 Nov | 152.62 | 15.55 | 0 | 0.50 | 0 | 0 | 0 |
| 10 Nov | 154.24 | 15.55 | 0 | 1.22 | 0 | 0 | 0 |
| 7 Nov | 153.30 | 15.55 | 0 | 0.83 | 0 | 0 | 0 |
| 6 Nov | 150.15 | 15.55 | 0 | - | 0 | 0 | 0 |
| 4 Nov | 151.54 | 15.55 | 0 | 0.09 | 0 | 0 | 0 |
| 3 Nov | 150.88 | 15.55 | 0 | - | 0 | 0 | 0 |
| 31 Oct | 148.67 | 15.55 | 0 | - | 0 | 0 | 0 |
| 30 Oct | 142.32 | 15.55 | 0 | - | 0 | 0 | 0 |
For Union Bank Of India - strike price 155 expiring on 27JAN2026
Delta for 155 PE is -0.57
Historical price for 155 PE is as follows
On 24 Dec UNIONBANK was trading at 150.76. The strike last trading price was 6.44, which was 0.59 higher than the previous day. The implied volatity was 26.62, the open interest changed by 114 which increased total open position to 318
On 23 Dec UNIONBANK was trading at 152.36. The strike last trading price was 5.9, which was 0.13 higher than the previous day. The implied volatity was 27.61, the open interest changed by 58 which increased total open position to 204
On 22 Dec UNIONBANK was trading at 152.80. The strike last trading price was 5.75, which was 0.5 higher than the previous day. The implied volatity was 28.04, the open interest changed by 118 which increased total open position to 146
On 19 Dec UNIONBANK was trading at 154.03. The strike last trading price was 5.15, which was -0.65 lower than the previous day. The implied volatity was 26.94, the open interest changed by 12 which increased total open position to 27
On 18 Dec UNIONBANK was trading at 154.15. The strike last trading price was 5.8, which was -3.7 lower than the previous day. The implied volatity was 30.08, the open interest changed by 1 which increased total open position to 15
On 17 Dec UNIONBANK was trading at 153.04. The strike last trading price was 9.5, which was 2.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 14
On 16 Dec UNIONBANK was trading at 153.20. The strike last trading price was 9.5, which was 2.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 14
On 15 Dec UNIONBANK was trading at 153.65. The strike last trading price was 9.5, which was 2.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 12 Dec UNIONBANK was trading at 152.74. The strike last trading price was 9.5, which was 2.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 14
On 11 Dec UNIONBANK was trading at 150.53. The strike last trading price was 9.5, which was 2.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 14
On 10 Dec UNIONBANK was trading at 148.06. The strike last trading price was 9.5, which was 2.7 higher than the previous day. The implied volatity was 28.52, the open interest changed by 0 which decreased total open position to 13
On 9 Dec UNIONBANK was trading at 150.43. The strike last trading price was 6.8, which was 1.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 8 Dec UNIONBANK was trading at 148.36. The strike last trading price was 6.8, which was 1.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 13
On 5 Dec UNIONBANK was trading at 153.30. The strike last trading price was 6.8, which was 1.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 4 Dec UNIONBANK was trading at 152.43. The strike last trading price was 6.8, which was 1.7 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 3 Dec UNIONBANK was trading at 151.38. The strike last trading price was 6.8, which was 1.7 higher than the previous day. The implied volatity was 25.75, the open interest changed by 0 which decreased total open position to 13
On 2 Dec UNIONBANK was trading at 155.77. The strike last trading price was 5.1, which was -2.4 lower than the previous day. The implied volatity was 26.87, the open interest changed by 8 which increased total open position to 13
On 1 Dec UNIONBANK was trading at 154.19. The strike last trading price was 7.5, which was -0.15 lower than the previous day. The implied volatity was -, the open interest changed by 1 which increased total open position to 0
On 28 Nov UNIONBANK was trading at 153.27. The strike last trading price was 7.5, which was -0.15 lower than the previous day. The implied volatity was 31.94, the open interest changed by 0 which decreased total open position to 4
On 27 Nov UNIONBANK was trading at 154.28. The strike last trading price was 7.65, which was 0.65 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 26 Nov UNIONBANK was trading at 155.40. The strike last trading price was 7.65, which was 0.65 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 25 Nov UNIONBANK was trading at 152.85. The strike last trading price was 7.65, which was 0.65 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 24 Nov UNIONBANK was trading at 150.99. The strike last trading price was 7.65, which was 0.65 higher than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 21 Nov UNIONBANK was trading at 150.89. The strike last trading price was 7.65, which was 0.65 higher than the previous day. The implied volatity was -, the open interest changed by 1 which increased total open position to 0
On 20 Nov UNIONBANK was trading at 153.19. The strike last trading price was 7.65, which was 0.65 higher than the previous day. The implied volatity was 31.19, the open interest changed by 0 which decreased total open position to 3
On 19 Nov UNIONBANK was trading at 154.48. The strike last trading price was 7, which was -8.55 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 18 Nov UNIONBANK was trading at 153.11. The strike last trading price was 7, which was -8.55 lower than the previous day. The implied volatity was -, the open interest changed by 3 which increased total open position to 0
On 17 Nov UNIONBANK was trading at 154.08. The strike last trading price was 7, which was -8.55 lower than the previous day. The implied volatity was 30.23, the open interest changed by 1 which increased total open position to 1
On 14 Nov UNIONBANK was trading at 152.76. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 13 Nov UNIONBANK was trading at 151.90. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was 0.05, the open interest changed by 0 which decreased total open position to 0
On 12 Nov UNIONBANK was trading at 156.29. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was 1.97, the open interest changed by 0 which decreased total open position to 0
On 11 Nov UNIONBANK was trading at 152.62. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was 0.50, the open interest changed by 0 which decreased total open position to 0
On 10 Nov UNIONBANK was trading at 154.24. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was 1.22, the open interest changed by 0 which decreased total open position to 0
On 7 Nov UNIONBANK was trading at 153.30. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was 0.83, the open interest changed by 0 which decreased total open position to 0
On 6 Nov UNIONBANK was trading at 150.15. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 4 Nov UNIONBANK was trading at 151.54. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was 0.09, the open interest changed by 0 which decreased total open position to 0
On 3 Nov UNIONBANK was trading at 150.88. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 31 Oct UNIONBANK was trading at 148.67. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0
On 30 Oct UNIONBANK was trading at 142.32. The strike last trading price was 15.55, which was 0 lower than the previous day. The implied volatity was -, the open interest changed by 0 which decreased total open position to 0































































































































































































































